Sketching Linear Graphs

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Method 1

Method 1

By using a table of points we can begin to sketch linear graphs

X	-4	0	4
Y	-17	-5	7

for this table we used this expression Y=3X-5

X = -4 3X-4 -12= -12 -5 = -17

X 0 3X0 0= 0 -5 = -5

X 4 3X4 12=12 -5 = 7

*Plot the points on a Cartesian Plane then draw a line to connect the dots*

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Method 2

Method 2

Using a slope and a Y intercept
Y=2X -3
2X = Slope, -3 = Y Intercept


Info For Linear Graphs
- Horizontal line has a slope of 0
- Vertical line has an undefined slope

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Method 3

Method 3

Using X and Y intercepts
3X +5Y=15

Finding the Y intercept, X = 0
3(0) +5Y = 15
5Y/5 = 15/5
Y=3

(0,3)

Finding X intercept, Y= 0
3X+5(0) = 15
3X/3 = 15/3
X=5

(5,0)

Plot the results onto a Cartesian Plane.

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PowerPoint

Contained in the PowerPoint below is an example of the processes in Sketching a Linear Equation would be.
*note that the final line in the example is not made to be exact just an estimate*

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Other Examples - From Internet

From the "Year 8 Interactive Maths - Second Edition" website it tells us that a way to Sketch Linear Graphs by "It is convenient to find the points where a graph cuts the axes. The points where a graph cuts the x-axis and y-axis are called the x-intercept and y-intercept respectively."

Internet example

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